{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "ACTION_BACK = 0\n",
    "ACTION_END = 1\n",
    "\n",
    "# behavior policy\n",
    "def behavior_policy():\n",
    "    return np.random.binomial(1, 0.5)\n",
    "\n",
    "# target policy\n",
    "def target_policy():\n",
    "    return ACTION_BACK"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# one turn\n",
    "def play():\n",
    "    # track the action for importance ratio\n",
    "    trajectory = []\n",
    "    while True:\n",
    "        action = behavior_policy()\n",
    "        trajectory.append(action)\n",
    "        if action == ACTION_END:\n",
    "            return 0, trajectory\n",
    "        if np.random.binomial(1, 0.9) == 0:\n",
    "            return 1, trajectory"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def figure_5_4():\n",
    "    runs = 10\n",
    "    episodes = 100000\n",
    "    for run in range(runs):\n",
    "        rewards = []\n",
    "        for episode in range(0, episodes):\n",
    "            reward, trajectory = play()\n",
    "            if trajectory[-1] == ACTION_END:\n",
    "                rho = 0\n",
    "            else:\n",
    "                rho = 1.0 / pow(0.5, len(trajectory))\n",
    "            rewards.append(rho * reward)\n",
    "        rewards = np.add.accumulate(rewards)\n",
    "        estimations = np.asarray(rewards) / np.arange(1, episodes + 1)\n",
    "        plt.plot(estimations)\n",
    "    plt.xlabel('Episodes (log scale)')\n",
    "    plt.ylabel('Ordinary Importance Sampling')\n",
    "    plt.xscale('log')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "figure_5_4()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "rl",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.20"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
